Solve x dy - y dx = 2x³ dx. O y = x^3 - cx O y^3 - x^3 - cx Oy=x^3 + cx O y^3 - x^3 + cx

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Q: a Ső 8 ea - e X a dx

A: ∫0aexa-e-xadx=∫0aexadx-∫0ae-xadx=ae-1-a1-1e=ea+-2e+1ea

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Q: FIND F'(X) FOR F(X) = 7X²² + 6x² -8 4 X ما

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Q: Finding the Domain and Range of a Function: f(x)=√x² – 3x + 2. O Domain: all x ±4 Domain: all x ±2…

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A: Quotient Rule of differentiation :  ddxuv = v.dudx-u.dvdxv2.

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Q: Given the graphs of f(x) and g(x): Ax) Find g(f(0)) 00 8 -8 1 y 8.0 8

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Q: 11. Given vectors u = [3, -2,-6] and, v = [4,1, -3], find the following: a) a vector on the yz…

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Q: Problem 2. where Use a property of Definite Integrals from to evaluate the integral f(x) = • 27 [²**…

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Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient If h = 0, then the…

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Q: General solution 1. y = cx+c²+1 2. y² = 4ax 3. y = 4 + ce³x dy dx Answer (ODE) y=xy' + (y)² +1…

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Q: Let f(x) = (3x + 7)(3x² + 2)8. Compute f'(x).

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Q: 4) Show that every plane that is tangent to the surface x² + y² y² = z² contains the origin.

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Q: Evaluate L{(t− 2)³ H(t − 2)}.

A: `LHt-2t-23Use Laplace Transform table:   LHt-cft=e-csLft+cFor t-23Ht-2:  ft=t-23,…

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Q: 3. sin² A tanAsinA-tanA sinA+1 tanA

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